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Finding the Fourth Proportional to 326.27, 488.97 and 164.07

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Solution

The fourth proportional to 326.27, 488.97 and 164.07 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.27 : 488.97 = 164.07 : x
  2. Step 2: Convert to fraction form
    326.27/488.97 = 164.07/x
  3. Step 3: Cross multiply
    326.27x = 488.97 × 164.07
  4. Step 4: Simplify right side
    326.27x = 80,224.49
  5. Step 5: Solve for x
    x = 80,224.49/326.27
  6. Step 6: Final answer
    x = 245.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.